31980876 has 96 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 9206784.

The previous prime is 31980853. The next prime is 31980877. The reversal of 31980876 is 67808913.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31980877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143301 + ... + 143523.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 2^31980876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31980876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

31980876 is an abundant number, since it is smaller than the sum of its proper divisors (53820084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31980876 is a wasteful number, since it uses less digits than its factorization.

31980876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 31980876 is about 5655.1636581093. The cubic root of 31980876 is about 317.4169530870.

It can be divided in two parts, 3 and 1980876, that multiplied together give a triangular number (5942628 = T₃₄₄₇).

The spelling of 31980876 in words is "thirty-one million, nine hundred eighty thousand, eight hundred seventy-six".